Includes sections "Books and race" and "Race in periodicals."

Several years ago our statistical friends and relations introduced us to the work of Amari and Barndorff-Nielsen on applications of differential geometry to statistics. This book has arisen because we believe that there is a deep relationship between statistics and differential geometry and moreoever that this relationship uses parts of differential geometry, particularly its 'higher-order' aspects not readily accessible to a statistical audience from the existing literature. It is, in part, a long reply to the frequent requests we have had for references on differential geometry! While we have not gone beyond the path-breaking work of Amari and Barndorff- Nielsen in the realm of applications, our book gives some new explanations of their ideas from a first principles point of view as far as geometry is concerned. In particular it seeks to explain why geometry should enter into parametric statistics, and how the theory of asymptotic expansions involves a form of higher-order differential geometry. The first chapter of the book explores exponential families as flat geometries. Indeed the whole notion of using log-likelihoods amounts to exploiting a particular form of flat space known as an affine geometry, in which straight lines and planes make sense, but lengths and angles are absent. We use these geometric ideas to introduce the notion of the second fundamental form of a family whose vanishing characterises precisely the exponential families.

Sterling A. Brown's achievement and influence in the field of American literature and culture are unquestionably significant. His poetry has been translated into Spanish, French, German, and Russian and has been read in literary circles throughout the world. He is also one of the principal architects of black criticism. His critical essays and books are seminal works that give an insider's perspective of literature by and about blacks. Leopold Sedar Senghor, who became familiar with Brown's poetry and criticism in the 1920s and 1930s, called him "an original militant of Negritude, a precursor of our movement." Yet Joanne V. Gabbin's book, originally published in 1985, remains the only study of Brown's work and influence. Gabbin sketches Brown's life, drawing on personal interviews and viewing his achievements as a poet, critic, and cultural griot. She analyzes in depth the formal and thematic qualities of his poetry, revealing his subtle adaptation of song forms, especially the blues. To articulate the aesthetic principles Brown recognized in the writings of black authors, Gabbin explores his identification of the various elements that have come together to create American culture.

This volume contains original research articles by many of the world's leading researchers in algebraic and Lie groups. Its inclination is algebraic and geometic, although analytical aspects are included. The central theme reflects the interests of R. W. Richardson, viz connections between representation theory and the structure and geometry of algebraic groups. All workers on algebraic and Lie groups will find that this book contains a wealth of interesting material.